Curriculum Vita
David A. Edwards
Professor of Mathematics
Department of Mathematical Sciences
University of Delaware
Newark, DE 197162553
(302) 8311871
https://sites.udel.edu/dedwards
(This page contains my most recent accomplishments. For information on older accomplishments, as well as some other supplemental information, click here.)
Jump ahead to Service, Journal Publications, or Other Publications.
Education
 Graduate:
 California Institute of Technology, Pasadena, California
 Ph.D. (Applied Mathematics), 1994
 Thesis Title: A Model for Nonlinear Diffusion in Polymers
 Thesis Advisor: Donald S. Cohen

 Undergraduate:
 California Institute of Technology, Pasadena, California
 B.S. with Honor (Applied Mathematics), 1990

 Actuarial Science:
 2004 System: Passed Exams P, MF, M, and all VEE
 1990s System: Passed Exams 100, 110, 120, 130, 135, 140, 150, 151
Experience
 September 2007present

 (Tenured) Professor
 Department of Mathematical Sciences
 University of Delaware
 Newark, Delaware
 Pursue interesting questions in biochemical reactions, electrogenerated chemiluminescence waves, neural signaling in the olfactory system, solar cells, mathematical finance, box office dynamics, 3D printing, and transport in foams. Teach (undergraduate) Differential Equations with Linear Algebra I and II, Elementary Linear Algebra, Engineering Mathematics I, Ordinary Differential Equations, Application of Mathematics in Economics, Introduction to Partial Differential Equations and (graduate) Introduction to Applied Mathematics I and II, Vector Spaces, Asymptotics and Perturbation Methods, and Introduction to Mathematical Finance.

 September 2010August 2011

 Interim Chair
 Department of Mathematical Sciences
 University of Delaware
 Newark, Delaware
 Led a department of over 50 fulltime faculty and staff. Responsible for faculty and personnel development, program development and departmental planning, and budgetary functions.

 September 2022present
 September 2005August 2010

 Associate Chair
 Department of Mathematical Sciences
 University of Delaware
 Newark, Delaware
 Had primary responsibility for most teachingrelated functions of the department. Responsible for course scheduling and instructor assignment for mathematical sciences courses. Served as complaint resolution official. Approved transfers of credit and grade changes. Supervised some instructional personnel.

 March 1999present

 Consultant
 Jones Day
 Washington, District of Columbia
 Analyze the validity of mathematical models presented as evidence in litigation. Perform statistical analysis of various data introduced in litigation.

 September 2001August 2007

 (Tenured) Associate Professor
 Department of Mathematical Sciences
 University of Delaware
 Newark, Delaware
 Pursued interesting questions in mathematical finance, neural signaling in the olfactory system, and biological bimolecular reactions. Also did modeling research in polymer skinning. Taught (undergraduate) Analytic Geometry and Calculus A, Ordinary Differential Equations, Differential Equations with Linear Algebra I, and (graduate) Asymptotics and Perturbation Methods, Vector Spaces, and Introduction to Applied Mathematics I and II.

 September 1997August 2001

 (TenureTrack) Assistant Professor
 Department of Mathematical Sciences
 University of Delaware
 Newark, Delaware
 Pursued research in polymers, biological bimolecular reactions, shear band formation, and box office dynamics. Teach (undergraduate) Analytic Geometry and Calculus A and C, Elementary Linear Algebra, Differential Equations with Linear Algebra I and II, and (graduate) Topics in Differential and Integral Equations and Introduction to Applied Mathematics I and II.

 August 1995July 1997

 Visiting Assistant Professor/NSF Research Instructor
 Department of Mathematics
 University of Maryland, College Park
 College Park, Maryland
 Pursued interesting questions related to my thesis research in polymers and explore new avenues of investigation, including viscoelastic rod dynamics, shear band formation, and biological bimolecular reactions. Taught (undergraduate) Introduction to Linear Algebra and (undergraduate/graduate) Methods and Models in Applied Mathematics II.

 September 1994August 1995

 Assistant Professor of Mathematics/Courant Instructor/ NSF Research Instructor
 Courant Institute of Mathematical Sciences
 New York University
 New York, New York
 Pursued interesting questions related to my thesis research in polymers and explored new avenues of investigation, including Prandtl boundarylayer flow. Taught (undergraduate) Calculus I and (graduate) Linear Algebra II.
Scholarly Funding
 Research:
 National Science Foundation, 20132017
 National Institutes of Health, 200207 (subcontract PI; PI: Paul Milewski)
 National Science Foundation, 19992002
 University of Delaware Research Foundation, 19992001

 Workshops:
 National Science Foundation, Support of the Sixteenth Annual Gradute Student Mathematical Modeling Camp, 20202022 (PI)
 National Science Foundation, Support of the Fifteenth Annual Gradute Student Mathematical Modeling Camp, 20192022 (PI)
 National Science Foundation, Support of the TwentyNinth through ThirtyFifth Annual Workshop on Problems in Industry, 20132019 (coPI)
 National Science Foundation, Support of the TwentyEighth Annual Workshop on Problems in Industry, 2012 (coPI)

 Institute for Mathematics and Its Applications:
 Support of the Graduate Student Mathematical Modeling Camp in 2023 ($2,500, coPI), 2021 ($5,000, coPI), 2019 ($4,000, coPI)
 Support of the Mathematical Problems in Industry Workshop in 2015 ($5,000, coPI), 2012 ($5,000, coPI), 2007 ($5,000, coPI), 2004 ($4,000, coPI)
 National Institute for Standards and Technology:
 Support of the Mathematical Problems in Industry Workshop in 2000 ($8,500, PI: Richard Braun), 1999 ($5,000, PI: Richard Braun)

 Postdoctoral:
 National Science Foundation Postdoctoral Research Instructor, 199497

 Graduate:
 Hertz Foundation Fellow, 199394
 National Science Foundation Graduate Fellow, 199093
Presentations and Workshops
 Invited Presentations:
 ToyotaUD Applied Math Initiative Workshop for High School Teachers, University of Delaware, July 2014
 Department of Mathematical Sciences, New Jersey Institute of Technology, October 2012
 Conference on Applied Analysis and Mathematical Biology, University of Delaware, August 2012
 Degenerate ReactionDiffusion Equations Arising in Polymer Diffusion and Their Connection to Problems in Mathematical Biology (2 talks), Brunel University, July 2008
 The Legacy of John Crank: Developments in Time Dependent PDEs, Diffusion and Free Boundary Problems, Brunel University, July 2008
 Department of Mathematics and Statistics, University of Maryland, Baltimore County, April 2008
 Department of Mathematical Sciences, New Jersey Institute of Technology, November 2004
 Mathematical Biosciences Institute, Ohio State University, October 2004
 Department of Mathematics and Statistics, University of Maryland, Baltimore County, September 2004 (colloquium)
 Department of Mechanical Engineering and Applied Mechanics , University of Pennsylvania, September 2002
 Department of Mathematics , University of Wisconsin, Madison, October 2001
 Department of Mathematics and Statistics, University of Maryland, Baltimore County, October 2000
 Biosensor Core Facility, University of Pennsylvania, September 2000
 School of Mathematics, Georgia Institute of Technology, January 2000
 Department of Mathematical Sciences, University of Delaware, April 1999 (Math Awareness Month public lecture)
 Department of Mathematics and Statistics, University of Nebraska, January 1999 (colloquium)
 Department of Mathematical Sciences, New Jersey Institute of Technology, September 1998
 Department of Chemical Engineering, Drexel University, February 1998
 Department of Mathematical Sciences, University of Cincinnati, May 1997
 Department of Mathematics and Statistics, University of Maryland, Baltimore County, September 1996

 Minisymposia:
 SIAM Conference on Applied Mathematics Education, Pittsburgh, July 2022
 AMS Sectional Meeting #1098, Catonsville, MD, March 2014
 SIAM Annual Meeting, Denver, July 2009
 SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Philadelphia, October 2007
 Joint SIAMSMB Conference on the Life Sciences, Raleigh, August 2006 (coorganizer)
 SIAM Annual Meeting, New Orleans, July 2005 (coorganizer)
 AMS Sectional Meeting #1005, Newark, DE, April 2005 (session organizer and additional paper)
 Fourteenth U.S. National Congress of Theoretical and Applied Mechanics, Blacksburg, June 2002
 SIAM Annual Meeting , San Diego, July 2001 (coorganizer)
 SIAM Annual Meeting, Philadelphia, July 1993

 Contributed Papers:
 SIAM Conference on Financial Mathematics & Engineering, Toronto, July 2019
 SIAM Annual Meeting, Boston, July 2016
 SMB Annual Meeting, Atlanta, July 2015
 SIAM Annual Meeting, Pittsburgh, July 2010
 SIAM Annual Meeting, San Diego, July 2001
 SIAM Annual Meeting, Puerto Rico, July 2000
 Nonlinear Analysis 2000–>, New York, May 2000 (poster presentation)
 Third SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 2000
 BIAsymposium, San Francisco, November 1999 (poster presentation)
 SIAM Annual Meeting, Toronto, July 1998 (two papers: talk 1, talk 2)
 Ninth International Coating Science and Technology Symposium, Newark, DE, May 1998 (proceedings published; see [O10])
 SIAM Annual Meeting, Kansas City, July 1996 (session chair)
 AIChE Annual Meeting, San Francisco, November 1994
 SIAM Annual Meeting, San Diego, July 1994
 Workshops resulting in reports:

 Mathematical Problems in Industry Workshop:
 (Asterisks indicate served on organizing committee)
 2022^{*} (Worcester, MA; [O37]), 2021^{*} ([O33]), 2020^{*} ([O32]), 2019^{*} (Newark, NJ; [O31] and [O35]), 2018^{*} (Claremont, CA; [O30] and [O34]), 2017^{*} (Newark, NJ; [O29]), 2016^{*} (Durham, NC; [O28]), 2015^{*} (Newark, DE; [O27]), 2014^{*} (Newark, NJ; [O26]), 2013^{*} (Worcester, MA; [O25]), 2012^{*} (Newark, DE; [O24]), 2011 (Newark, NJ; [O23]), 2010 (Troy, NY; [O22]), 2009^{*} (Newark, DE; [O21]), 2007^{*} (Newark, DE; [O20]), 2006^{*} (Needham, MA; [O19] and [O36]), 2005 (Worcester, MA; [O18]), 2004^{*} (Newark. DE; [O17]), 2001 (Troy, NY; [O14]), 2000^{*} (Newark, DE; [O13]), 1999^{*} (Newark, DE; [O12]
), 1998 (Troy, NY; [O11]), 1997 (Troy, NY; [O9]), 1996 (Troy, NY; [O8]), 1995 (Albuquerque, NM; [O6])
 Pall Corporation Industrial Study Group, Portsmouth, UK, March 2013
Advisement
 Graduate Research:
 Alexandra VasconezMoncayo, Summer 2020
 Avishek Mukherjee, Summer 2018
 Ryan Evans, “A Mathematical Journey Through Optical Biosensors,” 20142016
 Nicholas Kaufman, Summer 2014
 Matt Zumbrum, “Extensions for a SurfaceVolume Reaction Model with Application to Optical Biosensors,” 201013
 Qinghua Zhu, “Pricing Exchange Options with Stochastic Correlations,” 200610
 Amit Samant (coadvisor with Gilberto Schleiniger), 200204

 Undergraduate Research:

 Jacob Sitison, “3D Printing Extrusion Rates Through a Tapered Nozzle,” Summer 2019Spring 2020 (thesis)
 (manuscript published; see [J59])
 Ryan TalleyMcGovern, “Modeling Transport Effects in BIAcore Reactions”, Summer 2018
 Lucas Onisk, “MultiSite Reaction Rate Constant Evaluation”, Summer 2017
 Wenbin Li, Summer 20152016
 Alyson Grassi, “Modeling Multicomponent Reactions Through the Use of Ordinary Differential Equations”, Summer 2014
 Jessica Shearer, “Multicomponent Reactions in the BIAcore”, Summer 2013
 Linsey Norris, “Continuing Numerical Modeling for the Receptor Layer in the BIAcore,” Summer 2006
 Ken Bell, “A Numerical Model for the Receptor Layer in the BIAcore,” Summer 2004
 Sumanth Swaminathan, “A Mathematical Model of Blood Clotting,” Summer 2003Winter 2004
 (results published; see [O16])
 Sumanth Swaminathan, “Effects of Small Receptor Density Variation in the BIAcore,” Winter 2003
 (results published; see [J26])
 Sumanth Swaminathan, “Traveling Wave Solutions of Nonlinear Diffusion Equations,” Summer 2002
 (results published; see [J24])
 Nate Allen, “The Effects of a Receptor Layer in the BIAcore Device,” Summer 2001
 Seth Jackson, “A Nonlinear Integral Equation Arising in the IAsys Device,” Summer 2000
 (manuscript published; see [O15])
 Seth Jackson, “A Nonlinear Integral Equation Arising in Biochemical Systems,” Summer 1999
 (manuscript published; see [J22])

 University Related:
 MSDS Graduate Advisor, 2020present
 MATH Graduate Mentor, 20202023
 MATH Undergraduate Advisor, 19972005
Technical Skills
 Computer Skills:
 Extensive classroom implementation of numerical analysis techniques, including finite difference methods, iterative solvers, finite element techniques, multigrid, and spectral methods on ordinary and partial differential equations of all types.
 Extensive knowledge of Maple, Mathematica, Matlab, and TEX.
 Good working knowledge of C, C++, Canvas, HTML, LaTEX, and Qualtrics.
 Extensive knowledge of Macintosh operating system.
 Good working knowledge of UNIX and Microsoft Windows operating systems.
 Familiarity with Linux operating system.

 Languages:
 Excellent French reading comprehension and writing skills.
 Acceptable French oral communication skills.
Departmental Service
 Major Duties:
 Interim Chair, 20102011
 Associate Chair, 20052010, 2022present
 Ex officio member, Advisory Committee, 20052011, 2022present
 Member, Graduate Committee: Spring 2001, 201317, 202021
 Member, Math Alliance: 20202023
 Graduate Student Mentor: 20202023
 CoChair, Ad Hoc CT Priorities Committee, 20212022
 Organizer, Departmental Math Awareness Month Activities, 200304, 2006
 Chair, Outreach Committee: 2002, Spring/Summer 2004
 Chair, Colloquium Committee: 199899
 Secretary, Promotion and Tenure Committee: 201516, 201819
 Member, Promotion and Tenure Committee: 2001present
 Chair, Peer Review Committee: 2013, 201619
 Member, Peer Review Committee: 2008, 2012
 Undergraduate Research Coordinator, 201213
 Member, Undergraduate Studies Committee: 19992000, 200102, 201213, 201718
 Member, Convocation Committee: 199899, 200001, 200205
 Member, Computer Technology Committee: 19992001
 Member, Colloquium Committee: 199798

 Search Committees:
 Search Committee Chair: 201415 (tenure track), 202122 (continuing track)
 Actuarial Sciences Search Committee, 2022–present
 Opportunity Search Committee: 2014
 UNIDEL Postdoctoral Search Committee: 200510
 Probability/Topology Search Committee, 200304
 Applied Mathematics Search Committee: 200102
 Temporary Assistant Professor Search Committee: 200001

 Examination Committees:
 Chair, Applied Math Candidacy Exam Committee: Winter 2002
 Member, Dissertation Defense Committee: 2000, 2003, 2006 (MEEG), 2013, 2018, 2021 (FSAN), 2023 (FSAN)
 Member, Linear Algebra Preliminary Exam Committee: 200206, 2009, 2014, 2017, 2018
 Member, Applied Math Candidacy Exam Committee: 200001, 2011, 2013, 2014
 Member, PDE Candidacy Exam Committee: 1999
 French Examiner: 1999

 Course Coordinator/Leader for:
 Mathematics 351: Fall 2022
 Mathematics 302: Fall 2002
 Mathematics 241: Fall 1998, Fall 2001, Spring 2002

 Other Duties:
 Department Marshal, Commencement Exercises: 19982005, 20072011, 20132018, 2020present
 ACSC Recruiting Video, 2021
 Math Circles Presenter, 2013
 CoOrganizer, Applied Math Seminar: Spring 2001
Other Service and Awards
 College:
 Chair, Peer Review Committee, 2009
 Secretary of College Senate, 200607
 Nominee, President of College Senate, 2005
 Member, College Biotech Research Council, 200102

 University:
 Extradepartmental Academic Program Review, 2022
 Outstanding RSO Advisor, 2018
 Advisor, Actuarial Sciences Club, 2015–present
 Nominee, Excellence in Undergraduate Academic Advising and Mentoring, 2016
 Member, Council on PreCollegiate Programs, 2007
 Nominee, Excellence in Teaching Award, 2003

 Disciplinary:
 CoDirector, Graduate Student Mathematical Modeling Camp: 2019, 2021, 2022, 2023
 Member, Organizing Committee, Mathematical Problems in Industry Workshop in 1999, 2000, 2004, 2006, 2007, 2008, 2009, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021,2022

 University Affiliations:
 Delaware Biotechnology Institute
 Institute for Financial Services Analytics

 Professional Affiliations:
 SIAM

 Reviewer for:

 Biological Journals
 Biometrical Journal
 Biophysical Journal
 European Biophysics Journal
 Journal of Mathematical Biology
 Journal of Theoretical Biology
 Mathematical Biosciences
 Mathematical Medicine and Biology
 Business Journals
 Computational Economics
 Quantitative Finance
 Engineering and Science Journals
 AIChE Journal
 The European Physical Journal Plus
 IEEE Sensors Journal
 Journal of Applied Polymer Science
 Journal of Heat and Mass Transfer
 Journal of Polymer Science Part B: Polymer Physics
 Journal of Rheology
 Macromolecular Theory and Simulations
 Physica A
 General Interest Journals
 Journal of Multidisciplinary Applied Natural Science
 Scientific Reports
 UMBC Review
 Mathematics Journals
 Applicable Analysis
 Applied Mathematics Letters
 Computers, Materials, and Continua
 European Journal of Applied Mathematics
 International Journal of Mathematics and Mathematical Sciences
 Journal of Engineering Mathematics
 Journal of Mathematical and Physical Sciences
 Mathematical and Computer Modelling
 Mathematical Methods in the Applied Sciences
 Mathematical Modelling and Numerical Analysis
 Mathematical Reviews
 Numerical Methods for Partial Differential Equations
 SIAM Journal on Applied Mathematics
 SIAM Review (manuscripts and books)
 SIAM Undergraduate Research Online
 Studies in Applied Mathematics
 ZAMP
 AddisonWesley Longman Publishing
 Arkansas Science and Technology Authority
 Mathematics of Information Technology and Complex Systems
 National Science Foundation
 Petroleum Research Fund
 PrenticeHall Publishing
 SpringerVerlag Publishing
 promotion and tenure consideration (external)

 Other:
 Webpage design for nonprofit corporation, 19971998
Journal Publications
 [J1]
 “An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems.” SIAM Journal on Applied Mathematics, 55 (1995): 662676 (with Donald S. Cohen).
 [J2]
 “Constant Front Speed in Weakly Diffusive NonFickian Systems.” SIAM Journal on Applied Mathematics, 55 (1995): 10391058.
 [J3]
 “The Effect of a Changing Diffusion Coefficient in SuperCase II Polymer Penetrant Systems.” IMA Journal of Applied Mathematics, 55 (1995): 4966 (with Donald S. Cohen).
 [J4]
 “A Mathematical Model for a Dissolving Polymer.” AIChE Journal, 41 (1995): 23452355 (with Donald S. Cohen).
 [J5]
 “NonFickian Diffusion in Thin Polymer Films.” Journal of Polymer Science, Part B: Polymer Physics Edition, 34 (1996): 981997.
 [J6]
 “Perturbation Analysis of Thomas’ and Windle’s Model of Case II Transport.” AIChE Journal, 42 (1996): 20252035 (with Christopher J. Durning and Donald S. Cohen).
 [J7]
 “Viscous BoundaryLayer Effects in Nearly Inviscid Cylindrical Flows.” Nonlinearity, 10 (1997): 277290.
 [J8]
 “Trace Element Disequilibria and Magnesium Isotope Heterogeneity in 3655A: Evidence for a Complex MultiStage Evolution of a Typical Allende Type B1 CAI.” Geochimica et Cosmochimica Acta, 61 (1997): 15411561 (with Allen K. Kennedy et al.).
 [J9]
 “A Mathematical Model for Trapping Skinning in Polymers.” Studies in Applied Mathematics, 99 (1997): 4980.
 [J10]
 “Trapping Skinning in Polymers: Theoretical Predictions.” Chemical Engineering Communications, 166 (1998): 201216.
 [J11]
 “Asymptotic and Computational Analysis of Large Shear Deformations of a Thermoplastic Material.”SIAM Journal on Applied Mathematics, 59 (1998): 70024 (with Donald A. French).
 [J12]
 “An Asymptotic Analysis of Polymer Desorption and Skinning.” Macromolecular Theory and Simulations, 8 (1999): 1014.
 [J13]
 “Skinning During Desorption of Polymers: An Asymptotic Analysis.” SIAM Journal on Applied Mathematics, 59 (1999): 11341155.
 [J14]
 “Estimating Rate Constants in a ConvectionDiffusion System with a Boundary Reaction.” IMA Journal of Applied Mathematics, 63 (1999): 89112.
 [J15]
 “Transport Effects on SurfaceVolume Biological Reactions.” Journal of Mathematical Biology, 39 (1999): 533561 (with Byron Goldstein and Donald S. Cohen).
 [J16]
 “Biochemical Reactions on Helical Structures.” SIAM Journal on Applied Mathematics, 60 (2000): 14251446.
 [J17]
 “An Alternative Example of the Method of Multiple Scales.” SIAM Review, 42 (2000): 317332.
 [J18]
 “Surface Reaction Near a Stagnation Point.” Studies in Applied Mathematics, 105 (2000): 129.
 [J19]
 “The Effect of a Receptor Layer on the Measurement of Rate Constants.” Bulletin of Mathematical Biology, 63 (2001): 301327.
 [J20]
 “A Spatially Nonlocal Model for PolymerPenetrant Diffusion.” ZAMP, 52 (2001): 254288.
 [J21]
 “A Differential Equation Model of North American Cinematic BoxOffice Dynamics.” IMA Journal of Management Mathematics, 12 (2001): 4174 (with Ron A. Buckmire).
 [J22]
 “Testing the Validity of the Effective Rate Constant Approximation for Surface Reaction with Transport.” Applied Mathematics Letters, 15 (2002): 547552 (with Seth A. Jackson).
 [J23]
 “Desorption Overshoot in PolymerPenetrant Systems: Asymptotic and Computational Results.” SIAM Journal on Applied Mathematics, 63 (2002): 98115 (with Richard A. Cairncross).
 [J24]
 “Traveling Waves for Anomalous Diffusion in Polymers.” Applied Mathematics Letters, 17 (2004): 712 (with Sumanth Swaminathan).
 [J25]
 “Refining the Measurement of Rate Constants in the BIAcore.” Journal of Mathematical Biology, 49 (2004): 272292.
 [J26]
 “The Effect of Receptor Site Nonuniformity on the Measurement of Rate Constants.” Applied Mathematics Letters, 18 (2005): 11011107 (with S. Swaminathan).
 [J27]
 “A Spatially Nonlocal Model for Polymer Desorption.” Journal of Engineering Mathematics, 53 (2005): 221238.
 [J28]
 “Convection Effects in the BIAcore Dextran Layer: Surface Reaction Model.” Bulletin of Mathematical Biology, 68 (2006): 627654.
 [J29]
 “Convection Effects in Thin Reaction Zones: Applications to BIAcore.” SIAM Journal on Applied Mathematics, 66 (2006): 19781997.
 [J30]
 “Steric Hindrance Effects on Surface Reactions: Applications to BIAcore.” Journal of Mathematical Biology, 55 (2007): 517539.
 [J31]
 “Perturbation Approximation of Solutions of a Nonlinear Inverse Problem Arising in Olfaction Experimentation.” Journal of Mathematical Biology, 55 (2007): 745765 (with Donald A. French).
 [J32]
 “Steric Hindrance Effects in Thin Reaction Zones: Applications to BIAcore.” IMA Journal of Applied Mathematics, 72 (2007): 865893.
 [J33]
 “Identification of Cl(Ca) Channel Distributions in Olfactory Cilia.” Mathematical Methods in the Applied Sciences, 31 (2008): 18601873 (with Donald A. French, Dorjsuren Badamdorj, and Steven Kleene).
 [J34]
 “The Optimal Prepayment Strategy for Fixed Rate Mortgages.” In Proceedings of the World Congress on Engineering and Computer Science 2008. (2008): 898–903 (with D. Xie and G. Schleiniger)
 [J35]
 “An Asymptotic Method to a Financial Optimization Problem.” In Advances in Machine Learning and Data Analysis, vol. 72. S. Ao, et al., eds. New York: Springer (2009): 7994 (with D. Xie and G. Schleiniger).
 [J36]
 “Characterizing Molecular Diffusion in the Lens Capsule.” Matrix Biology, 29 (2010): 228236 (with Brian Danysh, et al.).
 [J37]
 “Transport Effects on Surface Reaction Arrays: Biosensor Applications .” Mathematical Biosciences, 230 (2011): 1222.
 [J38]
 “Characterization of the American Put Option Using Convexity.” Applied Mathematical Finance, 18 (2011): 353365 (with Dejun Xie, Gilberto Schleiniger, and Qinghua Zhu).
 [J39]
 “Sharp Fickian Behavior of Electrogenerated Chemiluminescence Waves in Conjugated Polymer Films.” Journal of Physical Chemistry, Part C, 117 (2013): 67476751.
 [J40]
 “Wavefunction Delocalization in Quantum Dot Arrays: An Asymptotic Analysis.” Journal of Engineering Mathematics, 81 (2013): 191211 (with William M. Reid and Matt Doty).
 [J41]
 “An Application of Matrix Theory to the Evolution of Coupled Modes.” SIAM Review, 55 (2013): 764787 (with Joseph Fehribach, Richard Moore, and Colin McKinstrie).
 [J42]
 “A Mathematical Model of Cinematic BoxOffice Dynamics with Geographic Effects.” IMA Journal of Management Mathematics, 25 (2014): 233257 (with Ron A. Buckmire and Jacob OrtegaGingrich).
 [J43]
 “Multiple Surface Reactions in Arrays with Applications to Optical Biosensors.” Bulletin of Mathematical Biology, 76 (2014): 17831808 (with Matthew E. Zumbrum).
 [J44]
 “Improving a Fuel Cell Assembly Process.” MathematicsinIndustry Case Studies, 6 (2014): 2247 (with Ibrahim Diakite, et al.).
 [J45]
 “Sharp Fickian Fronts in Conjugated Polymer Films.” IMA Journal of Applied Mathematics, 80 (2015): 533553.
 [J46]
 “Conformal Mapping in Optical Biosensor Applications.” Journal of Mathematical Biology, 71 (2015): 533550 (with Matthew E. Zumbrum).
 [J47]
 “Asymptotic Results for a Barrier Potential Model.” European Journal of Applied Mathematics, 26 (2015): 863886 (with Christopher S. Raymond).
 [J48]
 “Modal Analysis of Spatial Pattern Formation in Fused Silica under Ultraviolet Irradiation.” Journal of the Optical Society of America B, 33 (2016): 17091715 (with Richard Moore).
 [J49]
 “The Performance of the Hot End in a Plasticating 3D Printer.” Journal of Rheology 62 (2017): 229–236 (with Michael Mackay, et al.).
 [J50]
 “Applications of Fractional Calculus in Solving AbelType Integral Equations: SurfaceVolume Reaction Problem.” Computers & Mathematics With Applications, 73 (2017): 1346–1362 (with Ryan Evans, Udita Katugampola).
 [J51]
 “Measuring Kinetic Rate Constants of MultipleComponent Reactions with Optical Biosensors.” Analytical Biochemistry, 533 (2017): 4147 (with Ryan Evans, Wenbin Li).
 [J52]
 “Transport Effects on MultipleComponent Reactions in Optical Biosensors.” Bulletin of Mathematical Biology, 79 (2017): 221541 (with Ryan Evans).
 [J53]
 “Receptor Heterogeneity in Optical Biosensors.” Journal of Mathematical Biology, 76 (2018): 795816 (with Ryan Evans).
 [J54]
 “Simulation Solution to a TwoDimensional Mortgage Refinancing Problem.” Computational Economics, 52 (2018): 47992 (with Dejun Xie, Nan Zhang).
 [J55]
 “An Optimal Mortgage Refinancing Strategy with Stochastic Interest Rate.” Computational Economics, 53 (2019): 135375 (with Xiaoxia Wu, Dejun Xie).
 [J56]
 “Maximal 3D Printing Extrusion Rates.” IMA Journal of Applied Mathematics, 84 (2019): 1022–43 (with Michael Mackay, et al.).
 [J57]
 “Postextrusion Heating in ThreeDimensional Printing.” Journal of Heat Transfer, 142 (2020): 052101 (9 pages) (with Michael Mackay).
 [J58]
 “Nonisothermal Welding in Fused Filament Fabrication.” Additive Manufacturing, 33 (2020): 101140 (12 pages) (with Keith Coasey, et al.).
 [J59]
 “The Heat Balance Integral Method for Cylindrical Extruders.” Journal of Engineering Mathematics, 122 (2020): 116 (with Jacob Sitison).
 [J60]
 “Mathematical Models for the Effect of AntiVascular Endothelial Growth Factor on Visual Acuity.” Journal of Mathematical Biology, 81 (2020): 13971428 (with Anna Kondic, et al.).
 [J61]
 “Quasisteady Models for Weld Temperatures in Fused Filament Fabrication.” IMA Journal of Applied Mathematics, 87 (2022): 292313.
 [J62]
 “Optimal Exercise Frontier of Bermudan Options by Simulation Methods.” International Journal of Financial Engineering, 9 (2022): 2250013 (20 pages) (with Dejun Xie, et al.).
 [J63]
 “A VARBased Factor Decomposition to the Term Structure of Treasury Bonds.” International Journal of Monetary Economics and Finance, 15 (2022): 585613 (with Dejun Xie, et al.).
 [J64]
 “Dependence of Fused Filament Fabrication Weld Strength on Experimental Parameters: A Numerical Study.” Journal of Manufacturing Processes, 85 (2023): 106676.
 [J65]
 “Mixture Copulas with Discrete Margins and Their Application to Imbalanced Data.” Journal of the Korean Statistical Society, 52 (2023): 878900 (with Yujian Liu, et al.).
Other Publications
 [O1]
 “A Model for Venous Blood Flow in the Legs.” Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 3154 (with Tara Athan [Mary Brewster], et al.).
 [O2]
 “Risk Assessment for Propane Gas Leakage in Valleys.” Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 10934 (with Tara Athan [Mary Brewster], et al.).
 [O3]
 “Fluid Flow in a Filtering Device.” Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 191221 (with Donald Drew, et al.).
 [O4]
 “Flow Improvement in Hydrofractured Reservoirs.” Mathematical Modeling: IMA Summer Program for Graduate Students. IMA Preprint Series 1021 (1992): 26995 (with Pat Hagan, et al.).
 [O5]
 A Model for Nonlinear Diffusion in Polymers. Ph.D. thesis, California Institute of Technology, 1994.
 [O6]
 “Modeling Large Gas Release Events from ‘Dry’ Waste Tanks.” In Proceedings of the Eleventh Workshop on Mathematical Problems in Industry, Los Alamos Technical Report LAUR 954038 (1995) (with Tara Athan [Mary Brewster], et al.).
 [O7]
 “Swelling and Collapse of Elastic Shells.” Abstract. In Proceedings of the Twelfth International Congress on Rheology. A. AitKadi et al, eds. Laval University Press, Quebec (1996): 343 (with Christopher J. Durning et al.).
 [O8]
 “Optimizing Membrane Separations of TwoComponent Protein Solutions.” In Proceedings of the Twelfth Workshop on Mathematical Problems in Industry (1996): 6184 (with Skand Saksena, et al.).
 [O9]
 “Gas Concentration Measurements in Underground Waste Storage Tanks.” In Proceedings of the Thirteenth Workshop on Mathematical Problems in Industry (1997) (with Tara Athan [Mary Brewster], et al.).
 [O10]
 “Theoretical Predictions of Trapping Skinning in Polymers.” Extended abstract in Proceedings of the Ninth International Coating Science and Technology Symposium(1998).
 [O11]
 “Thermomechanical Models of Air Gap Nucleation During Pure Metal Solidification on Moving Molds with Periodic Surface Topographies.” In Proceedings of the Fourteenth Workshop on Mathematical Problems in Industry (1999): 1147 (with Louis G. Hector, Jr. et al.).
 [O12]
 “Interference Filters for Thermophotovoltaic Applications.” In Proceedings of the Fifteenth Annual Workshop on Problems in Industry (2000) (with John Les et al.).
 [O13]
 “Options on Baskets.” In Proceedings of the Sixteenth Workshop on Mathematical Problems in Industry (2001) (with Pat Hagan et al.).
 [O14]
 “MultiName Credit Derivatives.” In Proceedings of the Seventeenth Workshop on Mathematical Problems in Industry (2002) (with Pat Hagan et al.).
 [O15]
 “Testing the Validity of the Averaged Approximation for the IAsys.” University of Delaware Technical Report 20023 (2002) (with S. A. Jackson).
 [O16]
 “A Mathematical Model for Blood Clotting.” University of Delaware Technical Report 200404 (2004) (with S. Swaminathan).
 [O17]
 “MultiPhase Flow in a Thin Porous Material.” In Proceedings of the Twentieth Workshop on Mathematical Problems in Industry (2005) (with Uwe Beuscher et al.).
 [O18]
 “Advanced Leak Detection.” In Proceedings of the TwentyFirst Workshop on Mathematical Problems in Industry (2006) (with R. P. Hart and D. Reicher et al.).
 [O19]
 “Development of a QuaternionBased Algorithm to Process Data in Robotics Applications.” In Proceedings of the TwentySecond Workshop on Mathematical Problems in Industry (2007) (with J. Ashmore, et al.).
 [O20]
 “Characterizing Molecular Diffusion in the Lens Capsule.” In Proceedings of the TwentyThird Workshop on Mathematical Problems in Industry (2008) (with M. Duncan, et al.).
 [O21]
 “Development and Persistence of ‘Static’ or ‘Dead’ Zones in Flows.” In Proceedings of the TwentyFifth Workshop on Mathematical Problems in Industry (2009) (with J. Abbott, et al.).
 [O22]
 “Medical Ultrasound Imaging.” In Proceedings of the TwentySixth Workshop on Mathematical Problems in Industry, (2010) (with B. Haider, et al.).
 [O23]
 “Modeling Photon Generation.” In Proceedings of the TwentySeventh Workshop on Mathematical Problems in Industry (2011) (with C. McKinstrie, et al.).
 [O24]
 “Fuel Cell Assembly Process Flow for High Productivity.” In Proceedings of the TwentyEighth Workshop on Mathematical Problems in Industry (2012) (with R. Ramanan, et al.).
 [O25]
 “Phase Field Formulation for Microstructure Evolution in Oxide Ceramics.” In Proceedings of the TwentyNinth Workshop on Mathematical Problems in Industry (2013) (with L. Button, et al.).
 [O26]
 “Spatial Pattern Formation in Fused Silica Under UV Irradiation.” In Proceedings of the Thirtieth Workshop on Mathematical Problems in Industry (2014) (with L. Button, et al.).
 [O27]
 “Desulfurization of Natural Gas for Fuel Cells.” In Proceedings of the ThirtyFirst Workshop on Mathematical Problems in Industry (2015) (with E. Campbell, et al.).
 [O28]
 “Hybrid Programmatic TV Markets.” In Proceedings of the ThirtySecond Workshop on Mathematical Problems in Industry (2016) (with M. Montes de Oca, et al.).
 [O29]
 “On Characterizing and Simulating Porous Media.” In Proceedings of the ThirtyThird Workshop on Mathematical Problems in Industry (2017) (with Z. He, V. Venkateshwaran, et al.).
 [O30]
 “The Problem of Freezing of Copper Water Heat Pipes.” In Proceedings of the ThirtyFourth Workshop on Mathematical Problems in Industry (2018) (with J. CepedaRizo, et al.). (also see [O34])
 [O31]
 “Parametric Models for Clinical Measurements in Ophthalmology.” In Proceedings of the ThirtyFifth Workshop on Mathematical Problems in Industry (2019) (with A. Kondic, et al.).
 [O32]
 “Evaporation from Porous Media.” In Proceedings of the ThirtySixth Workshop on Mathematical Problems in Industry (2020) (with U. Beuscher, et al.).
 [O33]
 “Differential Privacy in Travel Data.” In Proceedings of the ThirtySeventh Workshop on Mathematical Problems in Industry (2021) (with J. Dumont, et al.).
 [O34]
 “The Problem of Freezing of Copper Water Heat Pipes.” Mathematics in Industry Reports (2021) (with S. Acharya, et al.).
 [O35]
 “Parametric Models for Clinical Measurements in Ophthalmology.” Mathematics in Industry Reports (2022) (with A. Kondic, et al.).
 [O36]
 “Development of a QuaternionBased Algorithm to Process Data in Robotics Applications.” Mathematics in Industry Reports (2022) (with J. Ashmore, et al.).
 [O37]
 “Finding the Limits of Machine Learning in Optimization.” Mathematics in Industry Reports (2022) (with D. Kane, et al.).
References, Teaching Portfolio
Available upon request